Existence of Solitary Wave Solutions for a Nonlinear Fifth-Order KdV Equation
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DOI: 10.1007/s12346-020-00366-5
Abstract: In this paper, we study a nonlinear fifth-order KdV equation which has wide physical applications. We first establish the existence of solitary wave solutions for this equation without delay by using the Hamilton function method.… read more here.
Keywords: wave solutions; solitary wave; nonlinear fifth; equation ... See more keywords
A Collocation Approach for the Nonlinear Fifth-Order KdV Equations Using Certain Shifted Horadam Polynomials
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DOI: 10.3390/math13020300
Abstract: This paper proposes a numerical algorithm for the nonlinear fifth-order Korteweg–de Vries equations. This class of equations is known for its significance in modeling various complex wave phenomena in physics and engineering. The approximate solutions… read more here.
Keywords: horadam polynomials; fifth order; certain shifted; nonlinear fifth ... See more keywords